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Finding the Fourth Proportional to 72,383.64, 108,589.11 and 27,418.46

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Solution

The fourth proportional to 72,383.64, 108,589.11 and 27,418.46 is: 41,132.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,383.64 : 108,589.11 = 27,418.46 : x
  2. Step 2: Convert to fraction form
    72,383.64/108,589.11 = 27,418.46/x
  3. Step 3: Cross multiply
    72,383.64x = 108,589.11 × 27,418.46
  4. Step 4: Simplify right side
    72,383.64x = 2,977,346,168.97
  5. Step 5: Solve for x
    x = 2,977,346,168.97/72,383.64
  6. Step 6: Final answer
    x = 41,132.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.